Parabolic frequency monotonicity on the conformal Ricci flow

Autor:	Abolarinwa, Abimbola, Azami, Shahroud
Rok vydání:	2023
Předmět:	Mathematics - Analysis of PDEs 53C21 53E20 35K65 58J35
Druh dokumentu:	Working Paper
Popis:	This paper is devoted to the investigation of the monotonicity of parabolic frequency functional under conformal Ricci flow defined on a closed Riemannian manifold of constant scalar curvature and dimension not less than 3. Parabolic frequency functional for solutions of certain linear heat equation coupled with conformal pressure is defined and its monotonicity under the conformal Ricci flow is proved by applying Bakry-Emery Ricci curvature bounds. Some consequences of the monotonicity are also presented. Comment: 18 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2310.11208 Zobrazit plný text záznamu View this record from Arxiv